Dynamical heterogeneous networks

Fraunhofer ITWM

The group dynamical heterogeneous networks is dealing with the modeling and analysis of complex networked systems. This subject (formerly CAD for Analog Circuit Design) has its origin in the field of modeling and analysis of analog circuits. In this context the EDA tool Analog Insydes has been developed. The objective is the integration of symbolic methods into the industrial design flow, thus supporting the circuit designers in their daily work.

The mathematical foundations are mixed symbolic/numerical algorithms for linear and nonlinear differential-algebraic systems of equations (DAE systems), which can also be applied for the modeling and analysis beyond the microelectronics domain. Examples are the automated modeling of regional and national gas pipeline networks, the analysis of complex biochemical reaction networks, as well as electrical power distribution systems and mechatronical systems.

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There is a large number of various industrial applications of symbolic methods, ranging from classical system understanding to error analysis, and from design and optimization to behavioral modeling on system level. Especially the automatic behavioral modeling is a very promising approach with respect to the simulation of heterogeneous systems (system simulation). This aspect is gaining particular importance for industrial hardware development, because the complex development of hardware prototypes can thus be avoided, including the development costs. A special challenge is heterogeneity, i.e. the coupling of various hardware components from different physical areas. A further research area is the formal verification of digital and hybrid systems which allows for a secure checking of required properties already during the design process.

Projekte

Competences

  • Symbolic analysis methods
  • Numerical simulation techniques
  • Symbolic approximation of linear and nonlinear DAE systems
  • Automatic generation of behavioral models
  • Hierarchical modeling and simulation techniques
    • Sensitivity analysis
    • Tolerance analysis via interval arithmetic and Monte-Carlo techniques
    • Verification of digital and hybrid systems

    Further Information